Question

what is the value of h?

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. The angle opposite to \(72^{\circ}\) is also \(72^{\circ}\).

Step2: Use the angle - sum relationship

We know that \(h + 47^{\circ}=72^{\circ}\) (because the sum of the two adjacent angles \(h\) and \(47^{\circ}\) is equal to the vertical angle of \(72^{\circ}\)).
To find \(h\), we use the formula \(h=72^{\circ}- 47^{\circ}\).

$$h = 72 - 47$$

$$h=25$$

Answer:

\(25\)